How to divide fractions - GRE Quantitative Reasoning

In order to solve quantitative comparison problems, you must first deduce whether or not the problem is actually solvable. Since this consists of finding the solution to an -coordinate on a line where nothing too complicated occurs, it will be possible.

Thus, your next step is to solve the problem.

Since and , you can plug in the -value and solve for :

Plug in y:

Add 2 to both sides:

Divide by 3/4. To divide, first take the reciprocal of 3/4 (aka, flip it) to get 4/3, then multiply that by 5/3:

Make the improper fraction a mixed number:

Now that you have what x equals, you can compare it to Quantity B.

Since is bigger than 2, the answer is that Quantity A is greater

Remember that when you divide by a fraction, you multiply by the reciprocal of that fraction. Therefore, this division really is:

At this point, it is merely a matter of simplification and finishing the multiplication:

To begin with, most students find it easy to remember that...

From this, you can apply the rule of division of fractions. That is, multiply by the reciprocal:

Therefore,

Since nothing needs to be reduced, this is your answer.

Let's make the two quantities look the same.

Quantity A: 120 miles / 5 gallons = 24 miles / gallon

Quantity B: 25 miles / gallon

Quantity B is greater.

In order to solve quantitative comparison problems, you must first deduce whether or not the problem is actually solvable. Since this consists of finding the solution to an -coordinate on a line where nothing too complicated occurs, it will be possible.

Thus, your next step is to solve the problem.

Since and , you can plug in the -value and solve for :

Plug in y:

Add 2 to both sides:

Divide by 3/4. To divide, first take the reciprocal of 3/4 (aka, flip it) to get 4/3, then multiply that by 5/3:

Make the improper fraction a mixed number:

Now that you have what x equals, you can compare it to Quantity B.

Since is bigger than 2, the answer is that Quantity A is greater

Remember that when you divide by a fraction, you multiply by the reciprocal of that fraction. Therefore, this division really is:

At this point, it is merely a matter of simplification and finishing the multiplication:

To begin with, most students find it easy to remember that...

From this, you can apply the rule of division of fractions. That is, multiply by the reciprocal:

Therefore,

Since nothing needs to be reduced, this is your answer.

Let's make the two quantities look the same.

Quantity A: 120 miles / 5 gallons = 24 miles / gallon

Quantity B: 25 miles / gallon

Quantity B is greater.

In order to solve quantitative comparison problems, you must first deduce whether or not the problem is actually solvable. Since this consists of finding the solution to an -coordinate on a line where nothing too complicated occurs, it will be possible.

Thus, your next step is to solve the problem.

Since and , you can plug in the -value and solve for :

Plug in y:

Add 2 to both sides:

Divide by 3/4. To divide, first take the reciprocal of 3/4 (aka, flip it) to get 4/3, then multiply that by 5/3:

Make the improper fraction a mixed number:

Now that you have what x equals, you can compare it to Quantity B.

Since is bigger than 2, the answer is that Quantity A is greater

Remember that when you divide by a fraction, you multiply by the reciprocal of that fraction. Therefore, this division really is:

At this point, it is merely a matter of simplification and finishing the multiplication:

To begin with, most students find it easy to remember that...

From this, you can apply the rule of division of fractions. That is, multiply by the reciprocal:

Therefore,

Since nothing needs to be reduced, this is your answer.

Let's make the two quantities look the same.

Quantity A: 120 miles / 5 gallons = 24 miles / gallon

Quantity B: 25 miles / gallon

Quantity B is greater.

In order to solve quantitative comparison problems, you must first deduce whether or not the problem is actually solvable. Since this consists of finding the solution to an -coordinate on a line where nothing too complicated occurs, it will be possible.

Thus, your next step is to solve the problem.

Since and , you can plug in the -value and solve for :

Plug in y:

Add 2 to both sides:

Divide by 3/4. To divide, first take the reciprocal of 3/4 (aka, flip it) to get 4/3, then multiply that by 5/3:

Make the improper fraction a mixed number:

Now that you have what x equals, you can compare it to Quantity B.

Since is bigger than 2, the answer is that Quantity A is greater

Remember that when you divide by a fraction, you multiply by the reciprocal of that fraction. Therefore, this division really is:

At this point, it is merely a matter of simplification and finishing the multiplication:

To begin with, most students find it easy to remember that...

From this, you can apply the rule of division of fractions. That is, multiply by the reciprocal:

Therefore,

Since nothing needs to be reduced, this is your answer.

Let's make the two quantities look the same.

Quantity A: 120 miles / 5 gallons = 24 miles / gallon

Quantity B: 25 miles / gallon

Quantity B is greater.

In order to solve quantitative comparison problems, you must first deduce whether or not the problem is actually solvable. Since this consists of finding the solution to an -coordinate on a line where nothing too complicated occurs, it will be possible.

Thus, your next step is to solve the problem.

Since and , you can plug in the -value and solve for :

Plug in y:

Add 2 to both sides:

Divide by 3/4. To divide, first take the reciprocal of 3/4 (aka, flip it) to get 4/3, then multiply that by 5/3:

Make the improper fraction a mixed number:

Now that you have what x equals, you can compare it to Quantity B.

Since is bigger than 2, the answer is that Quantity A is greater

Remember that when you divide by a fraction, you multiply by the reciprocal of that fraction. Therefore, this division really is:

At this point, it is merely a matter of simplification and finishing the multiplication:

To begin with, most students find it easy to remember that...

From this, you can apply the rule of division of fractions. That is, multiply by the reciprocal:

Therefore,

Since nothing needs to be reduced, this is your answer.